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Finding the Fourth Proportional to 9,217.53, 12,713.31 and 7,224.12

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Solution

The fourth proportional to 9,217.53, 12,713.31 and 7,224.12 is: 9,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.53 : 12,713.31 = 7,224.12 : x
  2. Step 2: Convert to fraction form
    9,217.53/12,713.31 = 7,224.12/x
  3. Step 3: Cross multiply
    9,217.53x = 12,713.31 × 7,224.12
  4. Step 4: Simplify right side
    9,217.53x = 91,842,477.04
  5. Step 5: Solve for x
    x = 91,842,477.04/9,217.53
  6. Step 6: Final answer
    x = 9,963.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.